* Tycoon Akhmetov pleads for home city's safety
* Rebels regroup in Donetsk after losing stronghold
* Planned peace talks pushed off the agenda (Adds Obama-Hollande call, paragraphs 26-28)
By Maria Tsvetkova
DONETSK, Ukraine, July 7 (Reuters) - Pro-Russian rebels erected new barricades on the streets of Donetsk on Monday, preparing to make a stand in the city of a million people after losing their bastion in the town of Slaviansk in the worst defeat of their three-month uprising.
Occasional bursts of gunfire could be heard in the distance from the centre of Donetsk, where residents said they were living in fear of a potential battle between government forces and the separatist gunmen now out in force.
Ukraine's richest man, Rinat Akhmetov, pleaded with the government on Monday not to bomb his home city. Local authorities say thousands of residents have left Donetsk, but most have nowhere to go.
The Kiev government has said it will act quickly to seize back more territory from the rebels after re-taking Slaviansk over the weekend in what President Petro Poroshenko called a turning point in the conflict.
Rebels retreating from Slaviansk, some driving armoured vehicles flying Russian flags, drove 110 km (65 miles) south into Donetsk over the weekend.
About 1,000 of them held a bellicose rally in the central square on Sunday, and on Monday many were visible on the streets, having established checkpoints to examine the documents of drivers.
Their presence drew a warning from Donetsk's local authorities. "There are men in camouflage and with weapons on the streets. We ask residents not to enter into arguments with these people and be extremely careful," said a message from the municipality.
Most shops and businesses were still open, but some were shut, and residents spoke of their fear that government forces could soon attack.
"The atmosphere is very tense now. There is no prospect of a future. You go to sleep in alarm and wake up in alarm," said Konstantin, 28, a cook.
"The Kiev authorities promise to tighten a ring around Donetsk and meticulously clear it of fighters. I don't know what to believe in any more. Donetsk is bigger than Slaviansk, but it seems to me it won't end with one single ring. All the same I have the impression the fighters will yield their positions."
The rebels' commander, a Muscovite using the name Igor Strelkov, was quoted by Interfax news agency as saying his men would fight for the city, which was "much easier to defend than little Slaviansk".
Strelkov's whereabouts were not immediately clear. Rebel sources said two other prominent local separatist leaders, Alexander Boroday and Denis Pushilin, were in Russia.
Armed men who appeared at Donetsk's local war museum with heavy lifting gear winched a World War Two tank onto a flat-bed truck and drove it off. Squatting on top of the tank, one of them told a local online journalist: "We have got an engine to go in it. We have got some experts. We have to add the engine, ease the turret and it will be a working battle tank."
It would be useful, he said, in the bid to "free" Donbass, a heavily industrialised basin in which Donetsk and Slaviansk sit.
The retreat from Slaviansk appears to have hurt the morale of the fighters, who have held sway in some eastern towns and cities since rising up in April.
One fighter from a group called the Vostok battalion, who declined to give his name, said: "It's a real mess. But we are being badly hit by artillery. We don't even see it coming."
Just outside Donetsk, a railway bridge running across the main road connecting the town to Slaviansk was blown up on Monday as a cargo train crossed it. It was not clear who had carried out the attack.
The city is the headquarters for Akhmetov, Ukraine's wealthiest man by far, whose fortune, founded on coal and steel, is put at more than $11 billion by Forbes. He said government forces should show restraint in the Donbass region.
"Donetsk must not be bombed. Donbass must not be bombed. Cities, towns and infrastructure must not be destroyed," he told Ukraina television. "We must avoid suffering and deaths of peaceful people."
Maksim Rovinsky of Donetsk's town council said 20,000-30,000 residents had left - "people who had somewhere else to go to".
The government said it had carried out an air strike against rebel fighters who had attacked the airport in Luhansk, another eastern city, on Sunday. It accused separatists in the area of opening fire in populated areas disguised as government forces.
The Defence Ministry said early on Monday separatists had launched 10 attacks on government posts and army positions in the previous 24 hours with mortars and small arms. It gave no details of the incidents or casualties, but said troops had returned fire: "The terrorists were given a fitting reply."
More than 200 Ukrainian troops have been killed in the conflict as well as hundreds of civilians and rebels.
Separatist rebellions erupted in mainly Russian-speaking eastern regions of Ukraine in April after Moscow annexed the Crimea peninsula in March, following the overthrow of a pro-Russian president in Kiev in February.
The European Union and the United States have sought to pressure Russian President Vladimir Putin to use his influence to ease tensions in the region and have imposed some economic sanctions.
U.S. President Barack Obama and French President Francois Hollande discussed the Ukraine crisis by phone on Monday, the White House said.
"The presidents decided that the United States and Europe should take further coordinated measures to impose costs on Russia if it does not take immediate steps toward de-escalation," the White House said in a statement.
Rebels have been barricaded into government buildings in Donetsk, which they declared capital of an independent "people's republic", but until now the city mostly functioned normally. Slaviansk, with 120,000 people, was the town where the rebels exercised the most control and where fighting was fiercest.
Strelkov, the self-styled rebel defence minister whose real name is Igor Girkin, was quoted by Interfax as saying 80-90 percent of his men had escaped from Slaviansk. They are now organising the active defence of Donetsk, he said.
Recapturing Slaviansk has given Ukrainian forces by far their clearest victory after months of patchy performance against the heavily armed fighters, many of whom are Russians who crossed the border, although Moscow denies supporting them.
Poroshenko, who called his security chiefs for a meeting on Monday night, ordered the assault on Slaviansk after abandoning a unilateral ceasefire last week, arguing that the rebels had refused to abide by the truce.
"My order is now in effect - tighten the ring around the terrorists," Poroshenko tweeted on Sunday. "Continue the operation to liberate Donetsk and Luhansk regions," he said.
Anton Herashchenko, an adviser to Interior Minister Arsen Avakov, told journalists on Monday the morale of the fighters was "extremely low. They feel abandoned, betrayed, deceived".
Asked why government forces had not struck from the air at the rebels as they drove off to Donetsk in a convoy, he said: "There could have been hostages among the fighters whom they'd taken in Slaviansk as a human shield."
He said government forces were now protecting the border against any further infiltrations from Russia. "If any armoured vehicles or Kamaz trucks cross from Russia, they will be destroyed from the air or by artillery fire," Herashchenko said.
In Slaviansk, where Ukrainian flags have replaced Russian flags atop government buildings for the first time in months, around 200 residents lined up in the central square on Sunday for meat, potatoes, onions and bread distributed by troops.
"Everything is different now. Tonight is the first night with no shelling," said Mikhail Martynenko, 58, a guard at a local market near Slaviansk. "People are in a better mood, and there are more people on the streets. Everyone was afraid. They had no idea when another mortar would come flying."
Ukraine's victory in Slaviansk has now pushed informal peace talks involving separatist leaders off the agenda. A meeting of a so-called contact group including Ukraine and Russia had been planned for the weekend, under an agreement in Berlin last week, to discuss conditions for a truce.
The Organization for Security and Cooperation in Europe website said "high representatives" from Ukraine, Russia and the OSCE did in fact meet in Kiev on Sunday, though separatist leaders did not appear to have attended. (Additional reporting by Natalia Zinets and Nadia Kravchenko and Mark Felsenthal in Washington; Writing by Richard Balmforth; Editing by Peter Graff, Will Waterman and Mohammad Zargham)